Please use this identifier to cite or link to this item: https://doi.org/10.1109/TAC.2002.1000281
Title: On functional approximation of the equivalent control using learning variable structure control
Authors: Cao, W.-J.
Xu, J.-X. 
Keywords: Equivalent control
Learning control (LC)
Sliding mode
Variable structure control (VSC)
Issue Date: May-2002
Source: Cao, W.-J., Xu, J.-X. (2002-05). On functional approximation of the equivalent control using learning variable structure control. IEEE Transactions on Automatic Control 47 (5) : 824-830. ScholarBank@NUS Repository. https://doi.org/10.1109/TAC.2002.1000281
Abstract: A learning variable structure control (LVSC) approach is originated to obtain the equivalent control of a general class of multiple-input-multiple-output (MIMO) variable structure systems under repeatable control tasks. LVSC synthesizes variable structure control (VSC) as the robust part which stabilizes the system, and learning control (LC) as the "plug-in" intelligent part which completely nullifies the effects of the matched uncertainties on tracking error. Rigorous proof based on energy function and functional analysis shows that the tracking error sequence converges uniformly to zero, and that the bounded LC sequence converges to the equivalent control almost everywhere.
Source Title: IEEE Transactions on Automatic Control
URI: http://scholarbank.nus.edu.sg/handle/10635/56862
ISSN: 00189286
DOI: 10.1109/TAC.2002.1000281
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